Quantum coherence is an important feature in quantum physics and is of practical significance in quantum computation and quantum communication [1]}, [2]}.
The formulation of the resource theory of coherence was initiated in Ref. [3]}, in which some requirements are proposed for a well defined quantum coherence measure. Later on, coherence measures or monotones such as
the \(l_1\)  norm of coherence [3]}, the relative entropy of coherence [3]}, intrinsic randomness of coherence [6]}, coherence concurrence [7]}, distillable coherence [8]}, coherence cost [8]},
robustness of coherence [10]}, coherence number [11]} and so on are proposed theoretically or operationally.
Many of these coherence measures were either created from entanglement measures using a standard modification or are closely related to one that was.
For example, the
robustness of coherence and coherence number are defined in a manner similar to that of robustness of entanglement and the Schmidt
number in entanglement theory respectively [12]}, [13]}. The \(l_1\)  norm coherence is exactly the twice negativity for pure states [14]}.
